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130131013133 = 1137437435633
BaseRepresentation
bin111100100110001101…
…0011010111000001101
3110102220001110101212002
41321030122122320031
54113002014410013
6135440435122045
712254524234562
oct1711432327015
9412801411762
10130131013133
1150208623250
1221278743325
13c36b0864b4
146426a50869
1535b95e2358
hex1e4c69ae0d

130131013133 has 16 divisors (see below), whose sum is σ = 149188560576. Its totient is φ = 112426755840.

The previous prime is 130131013087. The next prime is 130131013147. The reversal of 130131013133 is 331310131031.

It is a cyclic number.

It is not a de Polignac number, because 130131013133 - 28 = 130131012877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130131013183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3700316 + ... + 3735317.

It is an arithmetic number, because the mean of its divisors is an integer number (9324285036).

Almost surely, 2130131013133 is an apocalyptic number.

It is an amenable number.

130131013133 is a deficient number, since it is larger than the sum of its proper divisors (19057547443).

130131013133 is a wasteful number, since it uses less digits than its factorization.

130131013133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7435724.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 130131013133 its reverse (331310131031), we get a palindrome (461441144164).

The spelling of 130131013133 in words is "one hundred thirty billion, one hundred thirty-one million, thirteen thousand, one hundred thirty-three".

Divisors: 1 11 37 43 407 473 1591 17501 7435633 81791963 275118421 319732219 3026302631 3517054409 11830092103 130131013133